What is the Least Common Multiple of 44490 and 44510?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 44490 and 44510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44490 and 44510, than apply into the LCM equation.

GCF(44490,44510) = 10
LCM(44490,44510) = ( 44490 × 44510) / 10
LCM(44490,44510) = 1980249900 / 10
LCM(44490,44510) = 198024990

Least Common Multiple (LCM) of 44490 and 44510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44490 and 44510. First we will calculate the prime factors of 44490 and 44510.

Prime Factorization of 44490

Prime Factorization of 44510

Now multiplying the highest exponent prime factors to calculate the LCM of 44490 and 44510.

LCM(44490,44510) = 2¹ × 3¹ × 5¹ × 1483¹ × 4451¹
LCM(44490,44510) = 198024990